Analysis of a Statically Determinate Truss | DSI, Support Reactions & Member Forces | Worked Example

Welcome to Civil Engineering Academy. In this worked example, we analyze a statically determinate truss step by step to determine the degree of static indeterminacy, support reactions, and selected axial member forces. The lesson demonstrates how to apply the principles of static equilibrium and a systematic structural-analysis procedure to determine the forces acting within a statically determinate truss. 📚 MAIN TOPICS COVERED ✅ Identification and idealization of the statically determinate truss ✅ Determination of the total number of support reactions ✅ Degree of Static Indeterminacy (DSI) ✅ Assessment of truss determinacy and stability ✅ Calculation of support reactions RAy, RCy, and RCx ✅ Drawing and interpretation of the Free Body Diagram (FBD) ✅ Application of ΣFx = 0, ΣFy = 0, and ΣM = 0 ✅ Determination of selected axial member forces ✅ Calculation of member forces FAD, FBD, and FBC ✅ Identification of tension and compression forces ✅ Verification of calculated results ✅ Step-by-step procedure for statically determinate truss analysis 🎯 KEY LEARNING OUTCOMES By the end of this worked example, you should be able to: • Determine the total number of support reactions in a truss • Calculate and interpret the Degree of Static Indeterminacy • Assess whether a truss is statically determinate and stable • Determine support reactions using static equilibrium equations • Determine selected axial member forces • Identify whether truss members are in tension or compression • Apply a systematic procedure to statically determinate truss problems • Verify calculated results using the principles of equilibrium 📖 IMPORTANT NOTE For an ideal pin-jointed truss, the primary internal actions in the members are axial forces. The analysis therefore focuses on determining member forces and identifying whether individual members are subjected to tension or compression. This worked example provides a practical foundation for further analysis using the Method of Joints and Method of Sections. 🎓 RECOMMENDED FOR This lesson is suitable for: • Civil Engineering students • Structural Engineering students • Construction and Building Technology students • Engineering technicians and professionals • Learners preparing for structural analysis examinations • Anyone studying statically determinate truss structures 🎓 LEARN THE COMPLETE COURSE 1. 🎓 Full Course on Udemy — Analysis of Statically Determinate Structures Learn how to analyze beams, trusses, frames, and arches through structured lessons, analytical calculations, worked examples, and downloadable learning resources. 👉 Udemy Full Course: https://www.udemy.com/course/analysis-of-s... 2. 📕 Structural Analysis eBook on Gumroad Get the Analysis of Statically Determinate Structures eBook covering the major learning units from fundamentals through beams, trusses, frames, and arches. 👉 Gumroad eBook: https://mbonigaba.gumroad.com/l/analysis-s... 3. 📚 Civil Engineering Resources on Payhip Access additional Civil Engineering and Structural Analysis learning resources. 👉 Payhip Resources: https://payhip.com/b/5vAfM 📺 CIVIL ENGINEERING ACADEMY Learn | Analyze | Excel If you find this lesson useful: 👍 Like the video 💬 Comment with your questions or feedback 📢 Share it with other Civil Engineering and Structural Engineering learners 🔔 Subscribe to Civil Engineering Academy for more structural analysis lessons, formulae, and worked examples. 🔗 RELATED TRUSS ANALYSIS LEARNING SEQUENCE Idealization → Conditions for Determinacy → Formulae Sheet → Support Reactions → Method of Joints → Method of Sections → Zero-Force Members → Worked Truss Analysis Continue through the complete Analysis of Statically Determinate Structures learning series for a systematic understanding of beams, trusses, frames, and arches. #CivilEngineering #StructuralAnalysis #TrussAnalysis #DeterminateTruss #TrussStructures #MemberForces #SupportReactions #CivilEngineeringAcademy